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Finding the Fourth Proportional to 31,169.42, 43,016.52 and 17,737.80

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Solution

The fourth proportional to 31,169.42, 43,016.52 and 17,737.80 is: 24,479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169.42 : 43,016.52 = 17,737.80 : x
  2. Step 2: Convert to fraction form
    31,169.42/43,016.52 = 17,737.80/x
  3. Step 3: Cross multiply
    31,169.42x = 43,016.52 × 17,737.80
  4. Step 4: Simplify right side
    31,169.42x = 763,018,428.46
  5. Step 5: Solve for x
    x = 763,018,428.46/31,169.42
  6. Step 6: Final answer
    x = 24,479.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.